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# Syllabus for College Prep Algebra

## MAT 0024 College Prep Algebra Lecture (4 credits) Course Competencies

Competency 1: The student will demonstrate knowledge of real numbers by:
a. Performing operations of addition, subtraction, multiplication, and division on real numbers.
b. Applying the order of operations agreement on real numbers.
c. Recognizing and applying the commutative, associative, identity, inverse, and distributive
properties of real numbers.
d. Evaluating and interpreting absolute value.

Competency 2: The student will demonstrate knowledge of algebraic expressions by:
a. Evaluating and simplifying algebraic expressions.

Competency 3: The student will demonstrate knowledge of polynomials by:
a. Using properties of exponents to simplify exponential expressions.
b. Performing the operations of addition, subtraction, and multiplication on polynomials.
c. Dividing a polynomial by a monomial.

Competency 4: The student will demonstrate knowledge of scientific notation by:
a. Converting decimal notation to scientific notation and scientific notation to decimal notation.
b. Multiplying and dividing numbers that is in scientific notation.

Competency 5: The student will demonstrate knowledge of linear equations by:
a. Solving linear equations in one variable.
b. Solving linear equations with one variable that have no solution or an infinite number of solutions.
c. Solving applications involving linear equations including proportions.
d. Solving literal equations.

Competency 6: The student will demonstrate knowledge of linear inequalities by:
a. Solving linear inequalities in one variable and graphing the solution set.
b. Using interval notation to express intervals of real numbers.

Competency 7: The student will demonstrate knowledge of graphing by:
a. Plotting ordered pairs in a Cartesian coordinate plane.
b. Identifying points and naming the quadrant or axis on which they lie.
c. Graphing linear equations of two variables using a table of values.
d. Graphing linear equations of two variables using the x-intercept and y-intercept.
e. Determining intercepts from the graph of a line and graphing horizontal and vertical lines.

Competency 8: The student will demonstrate knowledge of factoring by:
a. Factoring out the greatest common factor and factoring by grouping.
b. Factoring quadratic trinomials, including perfect square trinomials, and factoring special products.

Competency 9: The student will demonstrate knowledge of rational expressions by:
a. Simplifying rational expressions.

Competency 10: The student will demonstrate knowledge of radical expressions by:
a. Simplifying square roots of monomials.
b. Adding, subtracting and multiplying square roots of monomials.

Competency 11: The student will demonstrate knowledge of quadratic equations by:
a. Solving quadratic equations by factoring.

## MAT 0024 College Prep Algebra Lecture (4 credits) Supplementary Textbook Exercises from the 2nd EDITION

Chapter 1 Foundations of Algebra
Section 1.1: page 9, #21-63 odds
Section 1.2: page 19, #19-49 odds
Section 1.3: page 35, #9-79 odds
Section 1.4: page 52, #11-73 odds
Section 1.5: page 65, #13-85 odds
Section 1.6: page 73, #7-39 odds, 45-47 odds
Section 1.7: page 85, #7-69 odds

Chapter 2 Linear Equations and Inequalities
Section 2.1: page 112, #5-27 odds
Section 2.2: page 128, #7-59 odds
Section 2.3: page 141, #7-59 odds
Section 2.4: page 150, #5-53 odds
Section 2.5: page 159, #7-43 odds
Section 2.6: page 173, #5-43 odds, 49-57 odds

Chapter 3 Ratios, Proportions and Percents
Section 3.1: page 197, #7, 11, 21-37 odds
Section 3.2: page 214, #7-47 odds
Section 3.3: page 232, #5-35 odds

Chapter 4 Graphing Linear Equations and Inequalities
Section 4.1: page 274, #5-27 odds
Section 4.2: page 284, #7-55 odds
Section 4.3: page 295, #7-45 odds

Chapter 5 Polynomials
Section 5.1: page 383, #7-27 odds, 49-55 odds, 65-71 odds
Section 5.2: page 395, #7-53 odds, 63-89 odds
Section 5.3: page 406, #5-23 odds, 35-43 odds
Section 5.4: page 418, #7-25 odds, 55-81 odds
Section 5.5: page 431, #7-29 odds, 37-51 odds, 57-61 odds, 71-95 odds
Section 5.6: page 446, #7-31 odds, 47-69 odds, 107-123 odds

Chapter 6 Factoring
Section 6.1: page 468, #7-89 odds
Section 6.2: page 475, #5-41 odds
Section 6.3: page 484, #5-39 odds
Section 6.4: page 493, #25-39 odds
Section 6.5: page 499, #7-17 odds, 21-45 odds
Section 6.6: page 511, #5-35 odds

Chapter 7 Rational Expressions
Section 7.1: page 546, #7-47 odds
Section 7.2: page 558, #7-31 odds
Section 7.3: page 568, #5-39 odds
Section 7.4: page 577, #7-21 odds, 27-39 odds